A hockey puck on a frictionless ice rink is struck by a stick so that the horizontal…

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

2.0\,\text{kg}

hockey puck on a frictionless ice rink is struck by a stick so that the horizontal force on the puck varies with time as follows: • From

t=0

t=3\,\text{s}

, the force increases uniformly from

0

15\,\text{N}

. • From

t=3\,\text{s}

t=5\,\text{s}

, the force remains constant at

15\,\text{N}

. • From

t=5\,\text{s}

t=8\,\text{s}

, the force decreases uniformly back to

0

. The force is directed along the

+x

-axis throughout. Answer the following parts carefully: (i) Calculate the total impulse delivered to the puck during the entire

8\,\text{s}

interval. (ii) If the puck is initially at rest, find its speed at

t = 8\,\text{s}

. (iii) Sketch qualitatively the graph of the puck’s linear momentum versus time for the interval

0

8\,\text{s}

. Clearly indicate the key points and slopes on your sketch.